I wish I could give you a list of cemetaries in the vast areas you requested for, but I'm afraid I don't have the luxury to do the search. I will tell you how instead.
First of all, please note that Senju, Adachi-ku is about 5 kilos (3 miles) away from Ueno/Yanaka area. Let's look at the following map.
https://maps.google.co.jp/maps?hl=ja&rlz=1T4GGNI_jaJP588JP588&q=%E8%B6...The pink area with the arrow is Senju today. Ueno is way south along the yellow road.
Perhaps what you can do is to contact the ward office of Adachi-ku and see what advise they might have for you.
For example, if you can get hold of your mother's or grandmother's koseki (official family registration), you may be able to track down some relatives. Things like full address of a certain year, full names and birth dates help to find old koseki.
I also wonder if they can give you information on cemetaries that existed in the year you visited one. There are dozens of cemetaries in each ku, and many of them are much newer. They are probably all listed on the phone books which are usually available at local libraries, but there is a different book for each ku. Let's say you walked 5 kilos from your home to the grave. There are seven possible ku in that range, each containing numerous graveyards.
In any case, if you are contacting the City Office, try to do this in advance to your trip so that they can take time locating the koseki or to give you advise on alternative ideas. Also, try to do this in Japanese language and have some sort of identification ready since privacy is a big deal nowadays.
Scroll down the following site for Adachi-ku City Office contact numbers. Note that they can't respond to email addresses that have things like a dot, hyphen or underscore just before the @ mark, nor to an address with two consecutive dots.
http://www.city.adachi.tokyo.jp/hodo/ku/kuse/link.htmlLastly, be sure you know the kanji of the family name on the grave. Just like it is in most countries, you need to read the tombstones to finally pinpoint the grave you're looking for.
I must warn you, however, that graves that are left untended by the owner are liely to be neatly disinstalled after many years. In that case, may I suggest that your mother is in a thousand winds that blow.
http://www.familyfriendpoems.com/poem/do-not-stand-by-my-grave-and-wee...